Attendance Data Parsing

To solve this problem, we first need to carefully read and organize the attendance data provided in the table. The data lists the number of employees present in five different offices (A, B, C, D, and E) on five weekdays (Monday through Friday). The numbers are given consecutively for each day and office.

Office B Attendance Calculation

The question asks for the total number of employees present in Office B on Wednesday and Thursday combined. We find these values from the parsed table:

• Number of employees present in Office B on Wednesday = 141
• Number of employees present in Office B on Thursday = 223

To find the total attendance for Office B over these two days, we add these numbers:

$$ \text{Total Attendance}_B = (\text{Wednesday Attendance}_B) + (\text{Thursday Attendance}_B) $$

$$ \text{Total Attendance}_B = 141 + 223 $$

$$ \text{Total Attendance}_B = 364 $$

Office C Attendance Calculation

Next, we need to calculate the total number of employees present in Office C on Monday and Friday combined. From the table:

• Number of employees present in Office C on Monday = 211
• Number of employees present in Office C on Friday = 257

The total attendance for Office C over these two days is:

$$ \text{Total Attendance}_C = (\text{Monday Attendance}_C) + (\text{Friday Attendance}_C) $$

$$ \text{Total Attendance}_C = 211 + 257 $$

$$ \text{Total Attendance}_C = 468 $$

Ratio Determination

The question requires the respective ratio between the total attendance in Office B (Wednesday and Thursday) and the total attendance in Office C (Monday and Friday). This is represented as:

$$ \text{Required Ratio} = \text{Total Attendance}_B : \text{Total Attendance}_C $$

Substituting the calculated totals:

$$ \text{Required Ratio} = 364 : 468 $$

To simplify this ratio, we divide both numbers by their greatest common divisor. We can start by dividing by common factors. Both numbers are even:

$$ \frac{364}{468} = \frac{364 \div 2}{468 \div 2} = \frac{182}{234} $$

We can divide by 2 again:

$$ \frac{182}{234} = \frac{182 \div 2}{234 \div 2} = \frac{91}{117} $$

Now, we find common factors for 91 and 117. We can see that $91 = 7 \times 13$ and $117 = 9 \times 13$. So, 13 is a common factor:

$$ \frac{91}{117} = \frac{91 \div 13}{117 \div 13} = \frac{7}{9} $$

Therefore, the respective ratio is 7:9.